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Finding the Fourth Proportional to 137,065.60, 205,598.40 and 105,923.20

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Solution

The fourth proportional to 137,065.60, 205,598.40 and 105,923.20 is: 158,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,065.60 : 205,598.40 = 105,923.20 : x
  2. Step 2: Convert to fraction form
    137,065.60/205,598.40 = 105,923.20/x
  3. Step 3: Cross multiply
    137,065.60x = 205,598.40 × 105,923.20
  4. Step 4: Simplify right side
    137,065.60x = 21,777,640,442.88
  5. Step 5: Solve for x
    x = 21,777,640,442.88/137,065.60
  6. Step 6: Final answer
    x = 158,884.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.